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Finding the Fourth Proportional to 972.64, 1,343.04 and 775.84

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Solution

The fourth proportional to 972.64, 1,343.04 and 775.84 is: 1,071.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.64 : 1,343.04 = 775.84 : x
  2. Step 2: Convert to fraction form
    972.64/1,343.04 = 775.84/x
  3. Step 3: Cross multiply
    972.64x = 1,343.04 × 775.84
  4. Step 4: Simplify right side
    972.64x = 1,041,984.15
  5. Step 5: Solve for x
    x = 1,041,984.15/972.64
  6. Step 6: Final answer
    x = 1,071.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.